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Finding the Third Proportional to 566,676 and 1,233,044

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Solution

The third proportional to 566,676 and 1,233,044 is: 2,683,010.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,676 : 1,233,044 = 1,233,044 : x
  2. Step 2: Convert to fraction form
    566,676/1,233,044 = 1,233,044/x
  3. Step 3: Cross multiply
    566,676x = 1,233,044 × 1,233,044
  4. Step 4: Simplify right side
    566,676x = 1,520,397,505,936
  5. Step 5: Solve for x
    x = 1,520,397,505,936/566,676
  6. Step 6: Final answer
    x = 2,683,010.23

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.